jee-advanced 2009 Q25

jee-advanced · India · paper1 Conic sections Triangle or Quadrilateral Area and Perimeter with Foci

The line passing through the extremity $A$ of the major axis and extremity $B$ of the minor axis of the ellipse
$$x ^ { 2 } + 9 y ^ { 2 } = 9$$
meets its auxiliary circle at the point $M$. Then the area of the triangle with vertices at $A , M$ and the origin $O$ is
(A) $\frac { 31 } { 10 }$
(B) $\frac { 29 } { 10 }$
(C) $\frac { 21 } { 10 }$
(D) $\frac { 27 } { 10 }$

The line passing through the extremity $A$ of the major axis and extremity $B$ of the minor axis of the ellipse

$$x ^ { 2 } + 9 y ^ { 2 } = 9$$

meets its auxiliary circle at the point $M$. Then the area of the triangle with vertices at $A , M$ and the origin $O$ is\\
(A) $\frac { 31 } { 10 }$\\
(B) $\frac { 29 } { 10 }$\\
(C) $\frac { 21 } { 10 }$\\
(D) $\frac { 27 } { 10 }$

Paper Questions

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